Difference between the Hubble distance, after our correction for peculiar velocity (D_Hubble), and the final distance (D_final). The latter is the inverse-variance weighted mean of D_Hubble and median redshift-independent distance from NED-D. The fractional uncertainty on the Hubble distance decreases with redshift, hence the convergence to zero difference. The dashed line indicates the redshift cut that is applied in the computation of the luminosity functions and clustering (Sect. 3).